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Finding the Fourth Proportional to 456.54, 629.69 and 299

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Solution

The fourth proportional to 456.54, 629.69 and 299 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 629.69 = 299 : x
  2. Step 2: Convert to fraction form
    456.54/629.69 = 299/x
  3. Step 3: Cross multiply
    456.54x = 629.69 × 299
  4. Step 4: Simplify right side
    456.54x = 188,277.31
  5. Step 5: Solve for x
    x = 188,277.31/456.54
  6. Step 6: Final answer
    x = 412.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.